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Finding the Fourth Proportional to 1,378.08, 2,067.36 and 647.52

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Solution

The fourth proportional to 1,378.08, 2,067.36 and 647.52 is: 971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.08 : 2,067.36 = 647.52 : x
  2. Step 2: Convert to fraction form
    1,378.08/2,067.36 = 647.52/x
  3. Step 3: Cross multiply
    1,378.08x = 2,067.36 × 647.52
  4. Step 4: Simplify right side
    1,378.08x = 1,338,656.95
  5. Step 5: Solve for x
    x = 1,338,656.95/1,378.08
  6. Step 6: Final answer
    x = 971.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.